77912172 has 96 divisors (see below), whose sum is σ = 219394560. Its totient is φ = 23768640.

The previous prime is 77912161. The next prime is 77912209. The reversal of 77912172 is 27121977.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 296113 + ... + 296375.

It is an arithmetic number, because the mean of its divisors is an integer number (2285360).

Almost surely, 2^77912172 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77912172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109697280).

77912172 is an abundant number, since it is smaller than the sum of its proper divisors (141482388).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

77912172 is a wasteful number, since it uses less digits than its factorization.

77912172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 492 counting only the distinct ones).

The product of its digits is 12348, while the sum is 36.

The square root of 77912172 is about 8826.7871844743. The cubic root of 77912172 is about 427.1054408185.

The spelling of 77912172 in words is "seventy-seven million, nine hundred twelve thousand, one hundred seventy-two".